The Sine-Gordon Equation in the Semiclassical Limit Dynamics of Fluxon Condensates |
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| Author:
| Buckingham, Robert J.
Miller, Peter D. |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-8545-1 |
| Publication Date: | Sep 2013 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $79.00USD $79.00 |
Book Description:
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Studies the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions.
Studies the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions.